34004022001 has 2 divisors, whose sum is σ = 34004022002. Its totient is φ = 34004022000.

The previous prime is 34004021959. The next prime is 34004022023. The reversal of 34004022001 is 10022040043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33415474401 + 588547600 = 182799^2 + 24260^2 .

It is a cyclic number.

It is not a de Polignac number, because 34004022001 - 2⁷ = 34004021873 is a prime.

It is not a weakly prime, because it can be changed into another prime (34004022071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17002011000 + 17002011001.

It is an arithmetic number, because the mean of its divisors is an integer number (17002011001).

Almost surely, 2^34004022001 is an apocalyptic number.

It is an amenable number.

34004022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004022001 is an equidigital number, since it uses as much as digits as its factorization.

34004022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34004022001 its reverse (10022040043), we get a palindrome (44026062044).

The spelling of 34004022001 in words is "thirty-four billion, four million, twenty-two thousand, one".